3x-9(2x+4)=3-8(2-4x)

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Solution for 3x-9(2x+4)=3-8(2-4x) equation:


Simplifying
3x + -9(2x + 4) = 3 + -8(2 + -4x)

Reorder the terms:
3x + -9(4 + 2x) = 3 + -8(2 + -4x)
3x + (4 * -9 + 2x * -9) = 3 + -8(2 + -4x)
3x + (-36 + -18x) = 3 + -8(2 + -4x)

Reorder the terms:
-36 + 3x + -18x = 3 + -8(2 + -4x)

Combine like terms: 3x + -18x = -15x
-36 + -15x = 3 + -8(2 + -4x)
-36 + -15x = 3 + (2 * -8 + -4x * -8)
-36 + -15x = 3 + (-16 + 32x)

Combine like terms: 3 + -16 = -13
-36 + -15x = -13 + 32x

Solving
-36 + -15x = -13 + 32x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-32x' to each side of the equation.
-36 + -15x + -32x = -13 + 32x + -32x

Combine like terms: -15x + -32x = -47x
-36 + -47x = -13 + 32x + -32x

Combine like terms: 32x + -32x = 0
-36 + -47x = -13 + 0
-36 + -47x = -13

Add '36' to each side of the equation.
-36 + 36 + -47x = -13 + 36

Combine like terms: -36 + 36 = 0
0 + -47x = -13 + 36
-47x = -13 + 36

Combine like terms: -13 + 36 = 23
-47x = 23

Divide each side by '-47'.
x = -0.4893617021

Simplifying
x = -0.4893617021

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